Let's solve the equation [tex]\(-16x = 80\)[/tex] step by step:
1. We start with the equation:
[tex]\[
-16x = 80
\][/tex]
2. To isolate [tex]\(x\)[/tex], we need to divide both sides of the equation by the coefficient of [tex]\(x\)[/tex], which is [tex]\(-16\)[/tex]:
[tex]\[
x = \frac{80}{-16}
\][/tex]
3. Simplifying the fraction:
[tex]\[
x = -5
\][/tex]
So, the solution to the equation [tex]\( -16x = 80 \)[/tex] is [tex]\( x = -5 \)[/tex].
Therefore, the correct option is:
D. [tex]\( x = -5 \)[/tex]